Solve [15/7:(3,6-1,8*11/3)]*1,4=

$$[ 1 \frac { 5 } { 7 } : ( 3,6 - 1,8 \cdot 1 \frac { 1 } { 3 } ) ] \cdot 1,4 =$$

Evaluate

$$2$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{\frac{7+5}{7}}{3,6-1,8\times \frac{1\times 3+1}{3}}\times 1,4$$

Add 7 and 5 to get 12.

$$\frac{\frac{12}{7}}{3,6-1,8\times \frac{1\times 3+1}{3}}\times 1,4$$

Multiply 1 and 3 to get 3.

$$\frac{\frac{12}{7}}{3,6-1,8\times \frac{3+1}{3}}\times 1,4$$

Add 3 and 1 to get 4.

$$\frac{\frac{12}{7}}{3,6-1,8\times \frac{4}{3}}\times 1,4$$

Convert decimal number 1,8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{12}{7}}{3,6-\frac{9}{5}\times \frac{4}{3}}\times 1,4$$

Multiply \frac{9}{5} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{12}{7}}{3,6-\frac{9\times 4}{5\times 3}}\times 1,4$$

Do the multiplications in the fraction \frac{9\times 4}{5\times 3}.

$$\frac{\frac{12}{7}}{3,6-\frac{36}{15}}\times 1,4$$

Reduce the fraction \frac{36}{15} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{12}{7}}{3,6-\frac{12}{5}}\times 1,4$$

Convert decimal number 3,6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{12}{7}}{\frac{18}{5}-\frac{12}{5}}\times 1,4$$

Since \frac{18}{5} and \frac{12}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{12}{7}}{\frac{18-12}{5}}\times 1,4$$

Subtract 12 from 18 to get 6.

$$\frac{\frac{12}{7}}{\frac{6}{5}}\times 1,4$$

Divide \frac{12}{7} by \frac{6}{5} by multiplying \frac{12}{7} by the reciprocal of \frac{6}{5}.

$$\frac{12}{7}\times \frac{5}{6}\times 1,4$$

Multiply \frac{12}{7} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12\times 5}{7\times 6}\times 1,4$$

Do the multiplications in the fraction \frac{12\times 5}{7\times 6}.

$$\frac{60}{42}\times 1,4$$

Reduce the fraction \frac{60}{42} to lowest terms by extracting and canceling out 6.

$$\frac{10}{7}\times 1,4$$

Convert decimal number 1,4 to fraction \frac{14}{10}. Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{10}{7}\times \frac{7}{5}$$

Multiply \frac{10}{7} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 7}{7\times 5}$$

Cancel out 7 in both numerator and denominator.

$$\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$2$$

Factor

$$2$$